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Simplifying (X * 2) + (2x + 6) * 2 = 102 Reorder the terms for easier multiplication: (2X) + (2x + 6) * 2 = 102 Reorder the terms: (2X) + (6 + 2x) * 2 = 102 Reorder the terms for easier multiplication: (2X) + 2(6 + 2x) = 102 (2X) + (6 * 2 + 2x * 2) = 102 (2X) + (12 + 4x) = 102 Reorder the terms: 12 + (2X) + 4x = 102 Solving 12 + (2X) + 4x = 102 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + (2X) + -12 + 4x = 102 + -12 Reorder the terms: 12 + -12 + (2X) + 4x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + (2X) + 4x = 102 + -12 (2X) + 4x = 102 + -12 Combine like terms: 102 + -12 = 90 (2X) + 4x = 90 Add '-4x' to each side of the equation. (2X) + 4x + -4x = 90 + -4x Combine like terms: 4x + -4x = 0 (2X) + 0 = 90 + -4x (2X) = 90 + -4x Divide each side by '2'. X = 45 + -2x Simplifying X = 45 + -2x
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